SOLUTION: I'm confused with this equation here: [(r+2)/(20)]*[(5)/(12r+24)] It's written out as fractions, but I don't know how to do that on here. The book says the answer is 1/48, b

Algebra ->  Rational-functions -> SOLUTION: I'm confused with this equation here: [(r+2)/(20)]*[(5)/(12r+24)] It's written out as fractions, but I don't know how to do that on here. The book says the answer is 1/48, b      Log On


   

Question 766221: I'm confused with this equation here:
[(r+2)/(20)]*[(5)/(12r+24)] It's written out as fractions, but I don't know how to do that on here.
The book says the answer is 1/48, but I'm a little confused by how it came to that conclusion. Can someone show me how?

Found 2 solutions by ramkikk66, MathTherapy:
Answer by ramkikk66(644) About Me  (Show Source):
You can put this solution on YOUR website!

It's quite simple if you write down the fraction clearly and do some simple
factorization:

%28%28r%2B2%29%2F20%29+%2A+%28%285%2F%2812%2Ar%2B24%29%29%29

Factor out the common factor of 12 from the denominator of the 2nd fraction

= %28%28r%2B2%29%2F20%29%2A+%285%2F%2812%2A%28r%2B2%29%29%29

The two (r+2) terms cancel out

= %28cross%28r%2B2%29%2F20%29%2A+%285%2F%2812%2Across%28%28r%2B2%29%29%29%29

Now we have only numbers to simplify

= 5%2F240+=+1%2F48

Hope you got it. Let me know if it is not clear :)


Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

I'm confused with this equation here:
[(r+2)/(20)] It's written out as fractions, but I don't know how to do that on here.
The book says the answer is 1/48, but I'm a little confused by how it came to that conclusion. Can someone show me how?

%28%28r+%2B+2%29%2F20%29+%2A+%28%285%29%2F%2812r+%2B+24%29%29 ------ %28%28r+%2B+2%29%2F20%29+%2A+%28%285%29%2F%2812%28r+%2B+2%29%29%29 ------ ------- highlight_green%281%2F48%29